en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dv)/(dt)=5-4v

Solution

\frac{d v}{d t} = 5 - 4 v

Solution

v = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{5}{4}

Solution steps

\frac{d v}{d t} = 5 - 4 v

Solve separable ODE:

v = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{5}{4}

v = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{5}{4}

Popular Examples

(dy)/(dx)y=sinh(11x)

\frac{d y}{d x} y = sinh (11 x)

1/(y+sqrt(y))dy= 1/(x+sqrt(x))dx

\frac{1}{y + y} d y = \frac{1}{x + x} d x

dy+sin(x)ydx-sin(x)dx=0

d y + sin (x) y d x - sin (x) d x = 0

((dy))/((dt))=2tcos^{(2)}(y)

\frac{( d y )}{( d t )} = 2 t cos^{(2)} (y)

(x^2+4)(dy)/(dx)+xy=2x,y(0)=3

(x^{2} + 4) \frac{d y}{d x} + x y = 2 x, y (0) = 3

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=5-4v ?
The solution for (dv)/(dt)=5-4v is v=-(e^{-4t-c_{1}})/4+5/4